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1980576381636 = 2232439111404437
BaseRepresentation
bin11100110100100011100…
…011010011101011000100
321000100012202212210200100
4130310203203103223010
5224422210023203021
64113510401244100
7263043346321056
oct34644343235304
97010182783610
101980576381636
116a3a59808926
1227ba23033630
131149c9405c78
146bc08d638d6
15367bcb66626
hex1cd238d3ac4

1980576381636 has 72 divisors (see below), whose sum is σ = 5128513213824. Its totient is φ = 644130527040.

The previous prime is 1980576381523. The next prime is 1980576381709. The reversal of 1980576381636 is 6361836750891.

1980576381636 is a `hidden beast` number, since 19 + 8 + 0 + 576 + 3 + 8 + 16 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 708010 + ... + 2112446.

It is an arithmetic number, because the mean of its divisors is an integer number (71229350192).

Almost surely, 21980576381636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980576381636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564256606912).

1980576381636 is an abundant number, since it is smaller than the sum of its proper divisors (3147936832188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1980576381636 is a wasteful number, since it uses less digits than its factorization.

1980576381636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405401 (or 1405396 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1980576381636 in words is "one trillion, nine hundred eighty billion, five hundred seventy-six million, three hundred eighty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 911 1548 1822 2733 3644 5466 8199 10932 16398 32796 39173 78346 117519 156692 235038 352557 470076 705114 1404437 1410228 2808874 4213311 5617748 8426622 12639933 16853244 25279866 50559732 60390791 120781582 181172373 241563164 362344746 543517119 724689492 1087034238 1279442107 2174068476 2558884214 3838326321 5117768428 7676652642 11514978963 15353305284 23029957926 46059915852 55016010601 110032021202 165048031803 220064042404 330096063606 495144095409 660192127212 990288190818 1980576381636